We determine the best (optimal) constant in the Folland-Stein inequality on the quaternionic Heisenberg group and the non-negative functions for which equality holds.
@article{ASNSP_2012_5_11_3_635_0, author = {Ivanov, Stefan and Minchev, Ivan and Vassilev, Dimiter}, title = {The optimal constant in the $L^2$ {Folland-Stein} inequality on the quaternionic {Heisenberg} group}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {635--652}, publisher = {Scuola Normale Superiore, Pisa}, volume = {Ser. 5, 11}, number = {3}, year = {2012}, mrnumber = {3059840}, zbl = {1276.53057}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_2012_5_11_3_635_0/} }
TY - JOUR AU - Ivanov, Stefan AU - Minchev, Ivan AU - Vassilev, Dimiter TI - The optimal constant in the $L^2$ Folland-Stein inequality on the quaternionic Heisenberg group JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2012 SP - 635 EP - 652 VL - 11 IS - 3 PB - Scuola Normale Superiore, Pisa UR - http://archive.numdam.org/item/ASNSP_2012_5_11_3_635_0/ LA - en ID - ASNSP_2012_5_11_3_635_0 ER -
%0 Journal Article %A Ivanov, Stefan %A Minchev, Ivan %A Vassilev, Dimiter %T The optimal constant in the $L^2$ Folland-Stein inequality on the quaternionic Heisenberg group %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2012 %P 635-652 %V 11 %N 3 %I Scuola Normale Superiore, Pisa %U http://archive.numdam.org/item/ASNSP_2012_5_11_3_635_0/ %G en %F ASNSP_2012_5_11_3_635_0
Ivanov, Stefan; Minchev, Ivan; Vassilev, Dimiter. The optimal constant in the $L^2$ Folland-Stein inequality on the quaternionic Heisenberg group. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 11 (2012) no. 3, pp. 635-652. http://archive.numdam.org/item/ASNSP_2012_5_11_3_635_0/
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